A repeated or regular arrangement of numbers, shapes, or other elements.

An expression that contains variables, numbers, and operations.

An expression that contains only numbers and operations.

Rules that define the sequence in which operations should be performed.

The result of raising a base to an exponent.

A number that indicates how many times the base is multiplied by itself.

The number that is multiplied by itself when raised to an exponent.

To reduce an expression to its simplest form.

To calculate the value of an expression.

All numbers on the number line, including rational and irrational numbers.

Non-negative numbers without fractions or decimals.

Positive integers starting from 1.

A number that produces a specified quantity when multiplied by itself.

Whole numbers and their opposites.

Numbers that can be expressed as a fraction of two integers.

Numbers that cannot be expressed as a simple fraction.

Properties of Real Numbers

Rules that apply to the operations of real numbers.

An example that disproves a statement or proposition.

Associative Property of Addition

Changing the grouping of addends does not change the sum.

Associative Property of Multiplication

Changing the grouping of factors does not change the product.

Commutative Property of Addition

Changing the order of addends does not change the sum.

Commutative Property of Multiplication

Changing the order of factors does not change the product.

Identity Property of Addition

The sum of any number and zero is the number itself.

Identity Property of Multiplication

The product of any number and one is the number itself.

Multiplication Property of -1

The product of any number and -1 is the additive inverse of the number.

Zero Property of Multiplication

The product of any number and zero is zero.

Equivalent Expressions

Expressions that have the same value for all values of the variables.

The process of reasoning from one or more statements to reach a logical conclusion.

The opposite of a number, which when added to the original number results in zero.

Inverse Property of Multiplication

The product of a number and its reciprocal is one.

Inverse Property of Addition

The sum of a number and its additive inverse is zero.

The distance of a number from zero on the number line.

A line on which numbers are marked at intervals, used to illustrate simple operations.

The multiplicative inverse of a number.

Multiplicative Inverse

A number which when multiplied by the original number results in one.

Distributive Property

a(b + c) = ab + ac; distributing multiplication over addition.

A single number or variable, or numbers and variables multiplied together.

Terms that have the same variables raised to the same power.

A mathematical statement that asserts the equality of two expressions.

A value or set of values that satisfy an equation.

An equation or inequality that contains an algebraic expression.

Performing calculations in your head without the use of calculators or paper.

A diagram representing a system of connections or interrelations among two or more things.

A set of values that show an exact position.

Algebra 1 - Chapter 1 Terms Flashcards

Student preview

53 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Variable

Back

A symbol used to represent a number in expressions or equations.

2.

FLASHCARD QUESTION

Front

Expression

Back

A combination of numbers, variables, and operations.

3.

FLASHCARD QUESTION

Front

Addition

Back

The process of finding the total or sum by combining two or more numbers.

4.

FLASHCARD QUESTION

Front

Subtraction

Back

The process of finding the difference between two numbers.

5.

FLASHCARD QUESTION

Front

Multiplication

Back

The process of finding the product by combining multiples of a number.

6.

FLASHCARD QUESTION

Front

Division

Back

The process of finding how many times one number is contained within another.

7.

FLASHCARD QUESTION

Front

Operations

Back

Mathematical processes such as addition, subtraction, multiplication, and division.

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